flatsurf / surface-dynamics

Teichmüller dynamics in SageMath
https://flatsurf.github.io/surface-dynamics/
GNU General Public License v2.0
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Parametrized FlipSequence by power of parabolic cycles #38

Open videlec opened 2 years ago

videlec commented 2 years ago

In many contexts it is useful to consider paths parametrized by the repetition of some parabolic cycles (corresponding to some Dehn twist). The matrix of the path is then a polynomial in these variables.

A possible user interface is

sage: fs1 = iet.FlipSequence(p1, ...)
sage: fs2 = iet.FlipSequence(p1, ...)
sage: R.<n1,n2> = PolynomialRing(QQ)
sage: fs = fs1^n1 * fs2^n2